\[
\boxed{
{\it A2}\, \left( ax+b \right) ^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left( x \right) +{\it A1}\, \left( ax+b \right) {\frac {\rm d}{{\rm d}x}}y \left( x \right) +{\it A0}\, \left( ax+b \right) y \left( x \right) =0}
\]